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21220002222072 = 23323311948963629
BaseRepresentation
bin1001101001100101010101…
…01100011100111111111000
32210010121112102212202222220
410310302222230130333320
510240132031032101242
6113044200123444040
74320044302555113
oct464625254347770
983117472782886
1021220002222072
116841397060675
1224686b3986620
13bac0648738b4
145350a708957a
1526beaaacabec
hex134caab1cff8

21220002222072 has 128 divisors (see below), whose sum is σ = 57146052096000. Its totient is φ = 6547107409920.

The previous prime is 21220002222071. The next prime is 21220002222119. The reversal of 21220002222072 is 27022220002212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220002222071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333463954 + ... + 333527582.

It is an arithmetic number, because the mean of its divisors is an integer number (446453532000).

Almost surely, 221220002222072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220002222072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573026048000).

21220002222072 is an abundant number, since it is smaller than the sum of its proper divisors (35926049873928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21220002222072 is a wasteful number, since it uses less digits than its factorization.

21220002222072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83181 (or 83177 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

Adding to 21220002222072 its reverse (27022220002212), we get a palindrome (48242222224284).

The spelling of 21220002222072 in words is "twenty-one trillion, two hundred twenty billion, two million, two hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 17112 19489 38978 58467 63629 77956 116934 127258 155912 190887 233868 254516 381774 448247 467736 509032 604159 763548 896494 1208318 1344741 1463467 1527096 1792988 1812477 1972499 2416636 2689482 2926934 3585976 3624954 3944998 4390401 4833272 5378964 5853868 5917497 7249908 7889996 8780802 10757928 11707736 11834994 13895657 14499816 15779992 17561604 23669988 27791314 35123208 41686971 45367477 47339976 55582628 83373942 90734954 111165256 136102431 166747884 181469908 272204862 333495768 362939816 544409724 1088819448 1240065581 2480131162 3720196743 4960262324 7440393486 9920524648 14880786972 28521508363 29761573944 38442033011 57043016726 76884066022 85564525089 114086033452 115326099033 153768132044 171129050178 228172066904 230652198066 307536264088 342258100356 461304396132 684516200712 884166759253 922608792264 1768333518506 2652500277759 3536667037012 5305000555518 7073334074024 10610001111036 21220002222072